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Size of an interval on a number line Example: fractions on a number line Each of these shapes have been split into two equal parts. Each part is a half. Half is shaded orange and half is unshaded.

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The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer. The ...

Size of an interval on a number line Example: fractions on a number line Each of these shapes have been split into two equal parts. Each part is a half. Half is shaded orange and half is unshaded.